3466487430000 has 600 divisors, whose sum is σ = 13900541502848. Its totient is φ = 789715008000.

The previous prime is 3466487429957. The next prime is 3466487430059. The reversal of 3466487430000 is 347846643.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 193401039 + ... + 193418961.

Almost surely, 2^{3466487430000} is an apocalyptic number.

3466487430000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466487430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950270751424).

3466487430000 is an abundant number, since it is smaller than the sum of its proper divisors (10434054072848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3466487430000 is a wasteful number, since it uses less digits than its factorization.

3466487430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18271 (or 18247 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3466487430000 in words is "three trillion, four hundred sixty-six billion, four hundred eighty-seven million, four hundred thirty thousand".